Answer:
x=3174.3 feet
Explanation:
As the triangle including x, the height of the mountain is a right angled triangle.
Now we know that in a right angled triangle the tangent of an angle is the ratio of the opposite side and the adjacent side.
Tan α=

here opposite side=5080 feet
adjacent side=x feet
α=58°
Tan 58° = 5080/x
x=5080/1.30=3174.3 feet.